Mathematical things I have toyed with.

Last Up date: 2007 October 10
Recent changes: Added a link to my some of my playing with 32,768,000 prime numbers.
Early attempt to organize a few of my pages.
Started on: Sat 20004-03-20

Things I have written: Some of the pages are old, and some links may not work.

  • I have updated an old prime number generation program, to use my favorite assembler. I was interested in the number of prime twins occurred in a large table of prime numbers. Some statistics on my largest prime run's starts here. If you just want a random slection of larger primes I have some here.
    Following are links to earlier pages I thought might be interesting. They are in the order I generated them:
  • Description of DOS programs I have written (Command line Executable under Windows) to do arithmetic things you might find interesting or useful.
  • My explanation of the Euclidian Algorithm and Continued Fractions.
  • Finding integer solutions for: x2 + y2 = z2
  • Description of the Lehmer Chain machine displayed at the Computer History Museum.
  • My attempts at making a working Chain Machine.
  • My notes for a talk about Congruence Arithmetic. Unfortunately, too much is left out to make it understandable without my live explanations and examples.

We count in a number system created by the convenience of using our fingers on both hands. But, because ten is not dividable by three there are many examples where, for convenience, we do not use base ten. Most notable examples are: Time, and Angles where the basic unit: a full circle of the planet we live on is broken up into a number of pieces that is divisible by three. Other examples are: the dozen, feet & inches, and keys in an octave.

It is unfortunate that God did not give us another thumb on each hand so we would have had twelve fingers, and counted base twelve instead of ten. Click here for more on this fantasy of changing the number system we use to be base twelve. I agree it would have many advantages, but when we can't in the USA get people to change to Metric; think how difficult it would be to change the base of the number system. We can't even change the stupid way many words are spelled in English. Tradition is a curse on human thinking.

Here are some links I think are interesting.

  1. Jim Loy's Math Page I accidentally found this. He has an enormous web site, with lots of interesting things.
  2. mathematische-basteleien.de has great graphics and explanations for a lot of different subjects. I think the fellow is German, because he has much of his pages in German & English.
  3. numbers.computation.free.fr/Constants/ lots of intersting links, including one on FFT based multiplication of large numbers.


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